Partial n-metric spaces and fixed point theorems
General Topology
2015-08-18 v1
Abstract
In this paper we combine the notions of partial metric spaces with negative distances, -metric spaces and n-metric spaces together into one structure called the partial n-metric spaces. These are generalizations of all the said structures, and also generalize the notions of -metric and -metric spaces to arbitrary finite dimension. We prove Cauchy mapping theorems and other fixed point theorems for such spaces.
Cite
@article{arxiv.1502.05320,
title = {Partial n-metric spaces and fixed point theorems},
author = {Samer Assaf and Koushik Pal},
journal= {arXiv preprint arXiv:1502.05320},
year = {2015}
}
Comments
arXiv admin note: text overlap with arXiv:1408.5627